Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
108192m |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-2094777151488 = -1 · 212 · 33 · 77 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 5 -4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3789,114885] |
[a1,a2,a3,a4,a6] |
Generators |
[47:196:1] |
Generators of the group modulo torsion |
j |
-12487168/4347 |
j-invariant |
L |
4.0717109411263 |
L(r)(E,1)/r! |
Ω |
0.77838366330199 |
Real period |
R |
0.65387274641789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077622 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108192t1 15456g1 |
Quadratic twists by: -4 -7 |